132551584 has 72 divisors (see below), whose sum is σ = 302647968. Its totient is φ = 56663040.

The previous prime is 132551579. The next prime is 132551591. The reversal of 132551584 is 485155231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101077 + ... + 102379.

It is an arithmetic number, because the mean of its divisors is an integer number (4203444).

Almost surely, 2^132551584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132551584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151323984).

132551584 is an abundant number, since it is smaller than the sum of its proper divisors (170096384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132551584 is a wasteful number, since it uses less digits than its factorization.

132551584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1333 counting only the distinct ones).

The product of its digits is 24000, while the sum is 34.

The square root of 132551584 is about 11513.1048809607. The cubic root of 132551584 is about 509.8725607506.

The spelling of 132551584 in words is "one hundred thirty-two million, five hundred fifty-one thousand, five hundred eighty-four".